{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hierarchical Equal Risk Contribution vs. Hierarchical Risk Parity\n",
    "\n",
    "## Abstract\n",
    "This tutorial notebook will demonstrate the differences between the Hierarchical Equal Risk Contribution and the Hierarchical Risk Party algorithms, applied through the MlFinLab library. Readers will be taken through how they can construct optimal portfolios utilizing both algorithms while understanding the main differences which separate them.\n",
    "\n",
    "## Introduction\n",
    "\n",
    "This tutorial notebook will serve as a comparison notebook demonstrating the differences between Thomas Raffinot's __[Hierarchical Equal Risk Contribution](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3237540)__ (HERC) and Dr. Marcos Lopez de Prado's __[Hierarchical Risk Parity](https://hudsonthames.org/an-introduction-to-the-hierarchical-risk-parity-algorithm/)__ (HRP) portfolio optimization algorithms. \n",
    "\n",
    "### Hierarchical Equal Risk Contribution\n",
    "From Raffinot's description in his original paper, we can distill the HERC algorithm down into four steps:\n",
    "1. Hierarchical clustering\n",
    "2. Selecting the optimal number of clusters\n",
    "3. Top-Down recursive bisection\n",
    "4. Implement Naive Risk Parity within clusters to allocate weights to each asset\n",
    "\n",
    "\n",
    "### Hierarchical Risk Parity\n",
    "The HRP algorithm is quite similar to the HERC algorithm as they both use a hierarchical clustering technique at the beginning. Although, the algorithms differ in the latter steps. From Dr. Lopez de Prado, we can break down the HRP algorithm into three main steps:\n",
    "1. Hierarchical clustering\n",
    "2. Quasi-diagonalization\n",
    "3. Recursive bisection\n",
    "\n",
    "If you would like to learn more about the HCAA and HRP implementation through MlFinLab, please refer to the official documentation:\n",
    "- __[Hierarchical Equal Risk Contribution](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__\n",
    "- __[Hierarchical Risk Parity](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_risk_parity.html)__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing our required libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "from mlfinlab.portfolio_optimization.herc import HierarchicalEqualRiskContribution\n",
    "from mlfinlab.portfolio_optimization.hrp import HierarchicalRiskParity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Data\n",
    "\n",
    "In this tutorial, we will be working with the historical closing prices for 17 assets from 2010-2018. The data we are working with was chosen because the clustering structure is clearly visible so it as a very good dataset for working with and visualizing various clustering techniques."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dates</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1989-02-01</th>\n",
       "      <td>2039.7</td>\n",
       "      <td>875.47</td>\n",
       "      <td>297.09</td>\n",
       "      <td>392.50</td>\n",
       "      <td>99.081</td>\n",
       "      <td>99.039</td>\n",
       "      <td>99.572</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.031</td>\n",
       "      <td>100.345</td>\n",
       "      <td>101.080</td>\n",
       "      <td>101.936</td>\n",
       "      <td>154.38</td>\n",
       "      <td>117.50</td>\n",
       "      <td>1636.57</td>\n",
       "      <td>133.584</td>\n",
       "      <td>286.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-02</th>\n",
       "      <td>2043.4</td>\n",
       "      <td>878.08</td>\n",
       "      <td>296.84</td>\n",
       "      <td>392.00</td>\n",
       "      <td>98.898</td>\n",
       "      <td>99.117</td>\n",
       "      <td>99.278</td>\n",
       "      <td>99.692</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.314</td>\n",
       "      <td>101.017</td>\n",
       "      <td>101.905</td>\n",
       "      <td>154.94</td>\n",
       "      <td>117.69</td>\n",
       "      <td>1642.94</td>\n",
       "      <td>135.052</td>\n",
       "      <td>287.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-03</th>\n",
       "      <td>2069.9</td>\n",
       "      <td>884.09</td>\n",
       "      <td>296.97</td>\n",
       "      <td>388.75</td>\n",
       "      <td>98.907</td>\n",
       "      <td>99.002</td>\n",
       "      <td>99.145</td>\n",
       "      <td>99.178</td>\n",
       "      <td>99.812</td>\n",
       "      <td>100.062</td>\n",
       "      <td>100.921</td>\n",
       "      <td>101.718</td>\n",
       "      <td>155.69</td>\n",
       "      <td>118.62</td>\n",
       "      <td>1659.11</td>\n",
       "      <td>137.134</td>\n",
       "      <td>285.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-06</th>\n",
       "      <td>2044.3</td>\n",
       "      <td>885.49</td>\n",
       "      <td>296.04</td>\n",
       "      <td>388.00</td>\n",
       "      <td>98.484</td>\n",
       "      <td>98.502</td>\n",
       "      <td>98.510</td>\n",
       "      <td>97.739</td>\n",
       "      <td>99.812</td>\n",
       "      <td>100.062</td>\n",
       "      <td>100.794</td>\n",
       "      <td>101.468</td>\n",
       "      <td>155.58</td>\n",
       "      <td>118.89</td>\n",
       "      <td>1656.86</td>\n",
       "      <td>137.037</td>\n",
       "      <td>284.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-07</th>\n",
       "      <td>2072.8</td>\n",
       "      <td>883.82</td>\n",
       "      <td>299.63</td>\n",
       "      <td>392.75</td>\n",
       "      <td>98.438</td>\n",
       "      <td>98.312</td>\n",
       "      <td>98.292</td>\n",
       "      <td>97.688</td>\n",
       "      <td>99.906</td>\n",
       "      <td>100.251</td>\n",
       "      <td>101.144</td>\n",
       "      <td>102.092</td>\n",
       "      <td>156.84</td>\n",
       "      <td>118.28</td>\n",
       "      <td>1662.76</td>\n",
       "      <td>136.914</td>\n",
       "      <td>284.21</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              FTSE  EuroStoxx50   SP500    Gold  French-2Y  French-5Y  \\\n",
       "Dates                                                                   \n",
       "1989-02-01  2039.7       875.47  297.09  392.50     99.081     99.039   \n",
       "1989-02-02  2043.4       878.08  296.84  392.00     98.898     99.117   \n",
       "1989-02-03  2069.9       884.09  296.97  388.75     98.907     99.002   \n",
       "1989-02-06  2044.3       885.49  296.04  388.00     98.484     98.502   \n",
       "1989-02-07  2072.8       883.82  299.63  392.75     98.438     98.312   \n",
       "\n",
       "            French-10Y  French-30Y    US-2Y    US-5Y   US-10Y   US-30Y  \\\n",
       "Dates                                                                    \n",
       "1989-02-01      99.572     100.000  100.031  100.345  101.080  101.936   \n",
       "1989-02-02      99.278      99.692  100.000  100.314  101.017  101.905   \n",
       "1989-02-03      99.145      99.178   99.812  100.062  100.921  101.718   \n",
       "1989-02-06      98.510      97.739   99.812  100.062  100.794  101.468   \n",
       "1989-02-07      98.292      97.688   99.906  100.251  101.144  102.092   \n",
       "\n",
       "            Russel2000  EuroStox_Small  FTSE_Small  MSCI_EM     CRB  \n",
       "Dates                                                                \n",
       "1989-02-01      154.38          117.50     1636.57  133.584  286.67  \n",
       "1989-02-02      154.94          117.69     1642.94  135.052  287.03  \n",
       "1989-02-03      155.69          118.62     1659.11  137.134  285.63  \n",
       "1989-02-06      155.58          118.89     1656.86  137.037  284.69  \n",
       "1989-02-07      156.84          118.28     1662.76  136.914  284.21  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# preparing our data\n",
    "raw_prices = pd.read_csv(\"../../Sample-Data/assetalloc.csv\", sep=';', parse_dates=True, index_col='Dates', dayfirst=True)\n",
    "stock_prices = raw_prices.sort_values(by='Dates')\n",
    "stock_prices.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Taking a quick look at our data\n",
    "stock_prices.resample('M').last().plot(figsize=(17,7))\n",
    "plt.ylabel('Price', size=15)\n",
    "plt.xlabel('Dates', size=15)\n",
    "plt.title('Stock Data Overview', size=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also plot the volatility of our stocks as well for further inspection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting the volatility of our stocks\n",
    "volatility = stock_prices.pct_change().rolling(window=252).std()*(252**0.5)\n",
    "\n",
    "plt.figure(figsize=(17,7))\n",
    "plt.plot(volatility)\n",
    "plt.ylabel('Volatility', size=20)\n",
    "plt.xlabel('Date', size=20)\n",
    "plt.title('Volatility of Assets', size=18)\n",
    "plt.legend(stock_prices.columns, loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HERC Portfolio Build\n",
    "\n",
    "The HERC portfolio in this example will be built utilizing the HierarchicalEqualRiskContribution() class provided through MlFinLab. In order to implement this portfolio optimization, we will run the allocate method with three parameters:\n",
    "1. asset_names (a list of strings containing the asset names)\n",
    "2. asset_prices (a dataframe of historical asset prices - daily close)\n",
    "3. risk_measure (the type of solution/algorithm to use to calculate the weights)\n",
    "\n",
    "The MlFinLab library also supports many more customizable parameters which can be used as well. Users can also specify:\n",
    "1. The metric used for calculating weight allocations\n",
    "2. A covariance matrix and expected asset returns instead of historical prices\n",
    "3. The type of linkage algorithm being used\n",
    "4. The optimal number of clusters for hierarchical clustering\n",
    "5. The confidence level for calculating expected shortfall and conditional drawdown at risk\n",
    "6. The method to use for calculation of expected returns\n",
    "\n",
    "For simplicity we will only be constructing the HERC portfolio with the three required parameters. We will be building two separate HERC portfolios for comparison, the first will be using the Equal Weighting solution and the second will be using the Variance solution. Keep in mind that the default linkage algorithm is set as the Ward Linkage algorithm.\n",
    "\n",
    "If you would like to learn more about this implementation and how you can utilize these additional parameters, please refer to the __[official documentation](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Gold</th>\n",
       "      <th>CRB</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.125</td>\n",
       "      <td>0.125</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.0625</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Gold    CRB   SP500  Russel2000   FTSE  EuroStoxx50  EuroStox_Small  \\\n",
       "0  0.125  0.125  0.0625      0.0625  0.025        0.025           0.025   \n",
       "\n",
       "   FTSE_Small  MSCI_EM   US-2Y  US-30Y   US-5Y  US-10Y  French-2Y  French-5Y  \\\n",
       "0       0.025    0.025  0.0625  0.0625  0.0625  0.0625     0.0625     0.0625   \n",
       "\n",
       "   French-10Y  French-30Y  \n",
       "0      0.0625      0.0625  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# building our equal_weighting HERC portfolio\n",
    "hercEW = HierarchicalEqualRiskContribution()\n",
    "hercEW.allocate(asset_names=stock_prices.columns,\n",
    "                asset_prices=stock_prices,\n",
    "                risk_measure='equal_weighting')\n",
    "hercEW.weights"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To save on computation time when building our next HERC portfolio, we can print out the optimal number of clusters calculated and pass this result in as a parameter to our next portfolio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The optimal number of clusters is: 6\n"
     ]
    }
   ],
   "source": [
    "print('The optimal number of clusters is: ' + str(hercEW.optimal_num_clusters))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additionally, we can visualize the dendrogram produced by our HERC algorithmm through the plot_cluster() method. The different colours in the x-labels of our produced dendrogram represent each cluster in our algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(17,7))\n",
    "hercEW.plot_clusters(assets=stock_prices.columns)\n",
    "plt.title('HERC Dendrogram', size=18)\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hercEW_weights = hercEW.weights\n",
    "y_pos = np.arange(len(hercEW_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hercEW_weights.columns), hercEW_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HERC Portfolio - Equal Weighting', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Gold</th>\n",
       "      <th>CRB</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000987</td>\n",
       "      <td>0.005609</td>\n",
       "      <td>0.000743</td>\n",
       "      <td>0.000547</td>\n",
       "      <td>0.000408</td>\n",
       "      <td>0.000274</td>\n",
       "      <td>0.000448</td>\n",
       "      <td>0.001154</td>\n",
       "      <td>0.00037</td>\n",
       "      <td>0.333466</td>\n",
       "      <td>0.005326</td>\n",
       "      <td>0.048537</td>\n",
       "      <td>0.016991</td>\n",
       "      <td>0.463714</td>\n",
       "      <td>0.086416</td>\n",
       "      <td>0.02759</td>\n",
       "      <td>0.00742</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
       "0  0.000987  0.005609  0.000743    0.000547  0.000408     0.000274   \n",
       "\n",
       "   EuroStox_Small  FTSE_Small  MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
       "0        0.000448    0.001154  0.00037  0.333466  0.005326  0.048537   \n",
       "\n",
       "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
       "0  0.016991   0.463714   0.086416     0.02759     0.00742  "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# building our variance HERC portfolio\n",
    "hercMV = HierarchicalEqualRiskContribution()\n",
    "hercMV.allocate(asset_names=stock_prices.columns,\n",
    "                asset_prices=stock_prices,\n",
    "                optimal_num_clusters=6,\n",
    "                risk_measure='variance')\n",
    "hercMV.weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hercMV_weights = hercMV.weights\n",
    "y_pos = np.arange(len(hercMV_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hercMV_weights.columns), hercMV_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HERC Portfolio - Variance', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HRP Portfolio Build\n",
    "The HRP portfolio in this example will be built through the HierarchicalRiskParty() class provided through MlFinLab. Slightly different from the HCAA implementation, the HRP portfolio build will utilize the following two parameters:\n",
    "1. asset_names (a list of strings containing the asset names)\n",
    "2. asset_prices (a dataframe of historical asset prices - daily close)\n",
    "\n",
    "Similarly to the HCAA implementation, users also have acces to a great degree of customizability when working with the HRP implementation. Specificaly, MlFinLab allows users to specify:\n",
    "1. Whether to shrink the covariance or not\n",
    "2. The type of linkage algorithm being used for clustering\n",
    "\n",
    "Users are also given the option to provide a matrix of asset returns, a covariance matrix of asset returns, and a distance matrix instead of the raw historical prices if they like. For simplicity, we will only be working with the two necessary parameters, the asset names and the asset prices.\n",
    "\n",
    "If you would like to learn more about the HRP implementation, please refer to the __[official documentation](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_risk_parity.html)__."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>Gold</th>\n",
       "      <th>CRB</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.342019</td>\n",
       "      <td>0.005462</td>\n",
       "      <td>0.031405</td>\n",
       "      <td>0.010994</td>\n",
       "      <td>0.007092</td>\n",
       "      <td>0.02637</td>\n",
       "      <td>0.447405</td>\n",
       "      <td>0.083377</td>\n",
       "      <td>0.004831</td>\n",
       "      <td>0.027454</td>\n",
       "      <td>0.002351</td>\n",
       "      <td>0.00173</td>\n",
       "      <td>0.001613</td>\n",
       "      <td>0.005024</td>\n",
       "      <td>0.001463</td>\n",
       "      <td>0.000535</td>\n",
       "      <td>0.000875</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      US-2Y    US-30Y     US-5Y    US-10Y  French-30Y  French-10Y  French-2Y  \\\n",
       "0  0.342019  0.005462  0.031405  0.010994    0.007092     0.02637   0.447405   \n",
       "\n",
       "   French-5Y      Gold       CRB     SP500  Russel2000   MSCI_EM  FTSE_Small  \\\n",
       "0   0.083377  0.004831  0.027454  0.002351     0.00173  0.001613    0.005024   \n",
       "\n",
       "       FTSE  EuroStoxx50  EuroStox_Small  \n",
       "0  0.001463     0.000535        0.000875  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# building our HRP portfolio\n",
    "hrp = HierarchicalRiskParity()\n",
    "hrp.allocate(asset_names=stock_prices.columns,\n",
    "             asset_prices=stock_prices)\n",
    "hrp.weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_weights = hrp.weights\n",
    "y_pos = np.arange(len(hrp_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_weights.columns), hrp_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP Portfolio', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also take advantage of the plot_clusters method to visualize the portfolio clusters through a dendrogram. We can see how the similar assets in this example are being clustered together at early stages of our tree."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xdWJ+/vJQx/oyN9e/WJ8WFnSEAQCw+oyMryNzc8n27dOuAg4sZjQAALA/GBkHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACMTxgEAAGBkKwrjVXViVZ1XVedX1SnL3P6QqtpRVQvD18NWv1QAAACYDQfvboOq2pDk1CT3THJhkrOq6vTW2seXbPq61trJ+6FGAAAAmCkrGRk/Icn5rbULWmvfTfLaJCft37IAAABgdq0kjN8gyecmli8c1i1136r6cFWdVlVHLndHVbW1qs6uqrN37NixF+UCAADA+rdaJ3B7a5KjWmu3TfL2JK9abqPW2rbW2vGtteM3bdq0Sg8NAAAA68tKwvhFSSZHum84rPuB1tqXW2vfGRZfluT2q1MeAAAAzJ6VhPGzkhxTVUdX1SFJHpDk9MkNqur6E4v3TvKJ1SsRAAAAZstuz6beWru0qk5OcmaSDUle0Vr7WFU9PcnZrbXTkzymqu6d5NIkX0nykP1YMwAAq2TbtmR+ftpVrB0LC/375s1TLWNN2bIl2bp12lXA7NltGE+S1toZSc5Ysu6pEz8/OcmTV7c0AAD2t/n5HkDn5qZdydrgefhhi50TwjisvhWFcQAAZtfcXLJ9+7SrYC0yQwD2n9U6mzoAAACwQsI4AAAAjEwYBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACMTxgEAAGBkwjgAAACMTBgHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZAdPuwAAAJgVF2+7OJfMXzLtMlbNzoWbJUnO3Xz+lCtZPYdtOSxHbD1i2mWAMA4AAKvlkvlLsnNhZzbObZx2KavipXOzE8KTZOfCziQRxlkThHEAAFhFG+c25rjtx027DJZx7uZzp10C/IBjxgEAAGBkwjgAAACMTBgHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjW1EYr6oTq+q8qjq/qk65gu3uW1Wtqo5fvRIBAABgtuw2jFfVhiSnJrlXkmOTPLCqjl1mu6sneWySD6x2kQAAADBLVjIyfkKS81trF7TWvpvktUlOWma7P0nyzCTfXsX6AAAAYOasJIzfIMnnJpYvHNb9QFXdLsmRrbV/uKI7qqqtVXV2VZ29Y8eOPS4WAAAAZsE+n8Ctqg5K8twkT9jdtq21ba2141trx2/atGlfHxoAAADWpZWE8YuSHDmxfMNh3aKrJ7l1ku1V9Zkkd0pyupO4AQAAwPJWEsbPSnJMVR1dVYckeUCS0xdvbK19vbV2aGvtqNbaUUnen+TerbWz90vFAAAAsM7tNoy31i5NcnKSM5N8IsnrW2sfq6qnV9W993eBAAAAMGsOXslGrbUzkpyxZN1Td7Ht5n0vCwAAAGbXPp/ADQAAANgzwjgAAACMTBgHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIVnRpMwAA4MB28baLc8n8JdMuY5/sXNiZJDl387lTrmTfHLblsByx9Yhpl8E+MjIOAADs1iXzl/wgzK5XG+c2ZuPcxmmXsU92Luxc950idEbGAQCAFdk4tzHHbT9u2mUc0Nb7qD6XMzIOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACM7eNoFADNs27Zkfn7aVeybhef175t/d7p17KstW5KtW6ddBQAAA2Ec2H/m55OFhWRubtqV7LXtc+s8hCf9NUiEcQCANUQYB/avublk+/ZpV3Fg27x52hUAALCEMA6wt9bLNPzFkfH1EMpNpwcADhBO4Aawtxan4a91c3Pr41CBhYX10bkBALAKjIwD7AvT8FfPehi5BwBYJUbGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJEJ4wAAADCyFYXxqjqxqs6rqvOr6pRlbn9kVX2kqhaq6r1VdezqlwoAAACzYbdhvKo2JDk1yb2SHJvkgcuE7fnW2m1aa3NJnpXkuateKQAAAMyIlYyMn5Dk/NbaBa217yZ5bZKTJjdorX1jYvFqSdrqlQgAAACz5eAVbHODJJ+bWL4wyR2XblRVv5Pk8UkOSfIzy91RVW1NsjVJbnSjG+1prQAAADATVu0Ebq21U1trN03ypCR/sItttrXWjm+tHb9p06bVemgAAABYV1YyMn5RkiMnlm84rNuV1yZ50b4UBQAAMKaLt12cS+YvmXYZu7VzYWeS5NzN5065kt07bMthOWLrEdMuY81aycj4WUmOqaqjq+qQJA9IcvrkBlV1zMTizyf51OqVCAAAsH9dMn/JD4LuWrZxbmM2zm2cdhm7tXNh57ro3Jim3Y6Mt9YuraqTk5yZZEOSV7TWPlZVT09ydmvt9CQnV9U9knwvyVeT/Mb+LBoAAGC1bZzbmOO2HzftMmbCehi5n7aVTFNPa+2MJGcsWffUiZ8fu8p1AQAAwMxatRO4AQAAACsjjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGQrOps6AAegbduS+fnxHm9hoX/fvHm8x9yyJdm6dbzHAwAYGBkHYHnz85cH5DHMzfWvsSwsjNvZAAAwwcg4ALs2N5ds3z7tKvaPMUfgAQCWMDIOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICROYEbAMAasu3iizN/ySWjPd7CzpslSTafe/5oj7nlsMOy9YgjRns8gLVIGAcAWEPmL7kkCzt3Zm7jxlEeb+6l44XwJFnYuTNJhHHggCeMAwCsMXMbN2b7ccdNu4z9YvO55067BDggXbzt4lwyP96sm50LvePt3M3j/c8ftuWwHLF1/XT0OWYcAABgxl0yf8kPAvIYNs5tzMa5cWb4JD38j9nZsBqMjAMAABwANs5tzHHbZ3PWzZgj8KvFyDgAAACMTBgHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABjZwdMuYAzbztmW+Y/MT7uMfbLwheclSTa/8nenXMm+2XKbLdl6+63TLgMAAGCqDogwPv+R+Sx8YSFzh89Nu5S9NnfK+g7hSbLwhYUkEcYBAIAD3gERxpNk7vC5bH/I9mmXcUDb/MrN0y4BAABgTXDMOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJGtKIxX1YlVdV5VnV9Vpyxz++Or6uNV9eGq+pequvHqlwoAAACzYbdhvKo2JDk1yb2SHJvkgVV17JLNzk1yfGvttklOS/Ks1S4UAAAAZsVKRsZPSHJ+a+2C1tp3k7w2yUmTG7TW3tla+9aw+P4kN1zdMgEAAGB2rCSM3yDJ5yaWLxzW7cpvJfnH5W6oqq1VdXZVnb1jx46VVwkAAAAzZFVP4FZVv5bk+CTPXu721tq21trxrbXjN23atJoPDQAAAOvGwSvY5qIkR04s33BY90Oq6h5JnpLkbq2176xOeQAAADB7VhLGz0pyTFUdnR7CH5Bky+QGVXVckpckObG19sVVr5IrtO2cbZn/yPy0y9ithS8sJEk2v3LzdAvZjS232ZKtt9867TIAAIAZtttp6q21S5OcnOTMJJ9I8vrW2seq6ulVde9hs2cn2ZjkDVW1UFWn77eK+RHzH5n/QdBdy+YOn8vc4XPTLuMKLXxhYV10bAAAAOvbSkbG01o7I8kZS9Y9deLne6xyXeyhucPnsv0h26ddxrq31kftAQCA2bCqJ3ADAAAAdk8YBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACMTxgEAAGBkwjgAAACMTBgHAACAkQnjAAAAMLKDp10A7M62c7Zl/iPzozzWwhcWkiSbX7l5lMdLki232ZKtt9862uMBAADTZ2ScNW/+I/M/CMn729zhc5k7fG6Ux0p6+B+rowEAAFg7jIyzLswdPpftD9k+7TJW3Zgj8AAAwNphZBwAAABGJowDAADAyIRxAAAAGJkwDgAAACMTxgEAAGBkwjgAAACMTBgHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACMTxgEAAGBkwjgAAACMbEVhvKpOrKrzqur8qjplmdt/qqo+WFWXVtX9Vr9MAAAAmB27DeNVtSHJqUnuleTYJA+sqmOXbPbZJA9JMr/aBQIAAMCsOXgF25yQ5PzW2gVJUlWvTXJSko8vbtBa+8xw22X7oUYAAACYKSuZpn6DJJ+bWL5wWAcAAADshVFP4FZVW6vq7Ko6e8eOHWM+NAAAAKwZKwnjFyU5cmL5hsO6PdZa29ZaO761dvymTZv25i4AAABg3VtJGD8ryTFVdXRVHZLkAUlO379lAQAAwOzabRhvrV2a5OQkZyb5RJLXt9Y+VlVPr6p7J0lV3aGqLkxy/yQvqaqP7c+iAQAAYD1bydnU01o7I8kZS9Y9deLns9KnrwMAAAC7MeoJ3AAAAABhHAAAAEYnjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACMTxgEAAGBkwjgAAACMTBgHAACAkQnjAAAAMDJhHAAAAEYmjAMAAMDIhHEAAAAYmTAOAAAAIxPGAQAAYGTCOAAAAIxMGAcAAICRCeMAAAAwMmEcAAAARiaMAwAAwMiEcQAAABiZMA4AAAAjE8YBAABgZMI4AAAAjEwYBwAAgJEJ4wAAADAyYRwAAABGJowDAADAyIRxAAAAGJkwDgAAACNbURivqhOr6ryqOr+qTlnm9itX1euG2z9QVUetdqEAAAAwK3YbxqtqQ5JTk9wrybFJHlhVxy7Z7LeSfLW1drMkf5nkmatdKAAAAMyKlYyMn5Dk/NbaBa217yZ5bZKTlmxzUpJXDT+fluTuVVWrVyYAAADMjoNXsM0NknxuYvnCJHfc1TattUur6utJrpvkS5MbVdXWJFuHxZ1Vdd7eFL236qGz3T+gfevXLLctSTLrfXPat77NcPtmuGlJDoD2TbuA/WzW2zfTDZzltiXat96N274b78svrySMr5rW2rYk28Z8TAAAAFhrVjJN/aIkR04s33BYt+w2VXVwkmsm+fJqFAgAAACzZiVh/Kwkx1TV0VV1SJIHJDl9yTanJ/mN4ef7JXlHa62tXpkAAAAwO3Y7TX04BvzkJGcm2ZDkFa21j1XV05Oc3Vo7PcnLk/xtVZ2f5CvpgR0AAABYRhnABgAAgHGtZJo6AAAAsIqEcQAAABiZMA4AB4Cq8pkPAGuID+ZBVV1r2jWMoaoeOlx+bqYcKDuZs/r6XZGqqmnXsD/NYvsm26R9a0NVHZnkN6rqetOuhfLjivEAACAASURBVNWxXv72ANi1AyLA7E5V/XmSbdOuY3+rqrsneXRr7dJp17Kaquq5SZ4/7Tr2t1l9/XZn8TKJVfWzVbVh1jpeZrF9E2264Sxe5nKifZvWUft+Psnjktynqg6ddjGrqaqOqKpDqmrDsHyghNQDpZ3MqKq6clVdf9p1rERVHT/tGtaLA+g9+Af2Zd9t3e/0rZJzk3w7mfkR1o8kObSqbj/tQlbZF5J8N5n5N4BZff12q6rumeQ1Sa7WWrts2vWstllsX1U9KsmfDT/P3PtqVT0xyWOHn9d8+1prL07ykiS/luR+sxLIq+pVSV6X5O1JfrOqrrKOOkj2SlU9v6pemuT0qrrTgTZbKtn1Z/1ih8x6VVWHTLuGMUy8fn+T5MVVdeNp1rM7VXVmkv8z7TrWqqq6TVXdrqqulPQO6xnfH0+SVNVVqurJSdJau2xv9wXW/A7ESL6QZHNVHTYrO8K78M0kn0sya9MUP5nkf1bVxsz2SMGsvn4rcU6SDye56rQL2U9msX1XS3KjpH9ITbmW/eGGSW6drP32VdWVk6S1dmqSjyb5rSS/st4Pz6qqNyW5eZIHJXl/kvsnOWzi9pnbx6mq1yX5H0neleTiJG9O8qiqOmKqhY2oqmpidsrvD19/VFU/1lr7/rTr21tV9ZQkf1BV1512LSNY3Fd7cpIbJHn6Wg3kVfXm9I7yO027lrWoqv4hfXbxvyR5VVU9JjlgAvkJ6Z3bL0j2PpDP3AfVSlXV7YbvB7fW3pXkU0kOGdbNzB9PVT24qu5ZVRtba99M8o4kdx9uW7e96VV1s+F7JXlfkp1JLlvrO8V7alZfvyuyi/+/ryW5VpJ7j1zOqpvF9u2iTW8cbrr6en9PXXKM+OLn5mlJrjSdilZmsdbW2neGadzvSt8JvlKSP0jywPW6419Vb0hyk9banVprn22tPSnJdZPcs6ruUVVH7MtIxVpUVddIcu0kv9Rae3VrbWuSpyTZkv5abpxqgSOZCOJvTXK/9Nf9Hkn+vap+cj2OjlfVjyf5oySPTvKgqrr2lEvab4bR03+oqhNbaxckuW+Sn8gaDORV9ZYk12mt3WVi3fUPxBmKyxlmiB3RWrtzeifhR5P8XFU9K5ndQF5VVxoOr3hP+v/tLarq1GTvAvnMfEjtiap6eJK3VNXbk/xjVT0syU8mOTGZnT+eqrp5kickeWqSf6uqs5M8IH0kIa21S9fph9aTk7xt+CB+WZK7JLllkp+eamGrbFZfv92Z2NF6XFUdX1W3HTpZ3p1k3R8TOovtm2jTkVV19WH159JHxo9d79OGJ9p31QyvUZL/SHKbqjp2aoXtQvVjqK857BQs1vv0JN9srf12a20uyV8m+c0kv1pV15xasXuh+hT7Kyf5XlX92LDu6PTPgROT/HGS/1dVR81YB+2GJHMZ9lWSpLX28iQvSvKo9M/CmZwRsNTw+Xhoa+12rbUntNbumuQf0/cJfmrYZt08D621T6ZPg/5ykicm+Z319n+5B66SPqPxhVX10621/0xyUtZYIK+q+6T/T71sYt1NknwgiTDefT/J/0uS1tonkpya5FVJfqKqThnWr+vP/6WG95WXpO+bH5nkH5L8VZJj9jaQr5s3qlV2evoH2p8m+bf0cPPp9KnOJyTrP5BX1UGttfOSzA0fUr+R5JQkr0xy8+rHm6W19v11GOhen+Rn00fevp3kV5N8J8l9a52cCGR3Zvz1262h1/nn0k/Md2ZV/W36c3BSVV1/vb+5z2L7quoP0neGP1ZVL0sfsbswyabh9nU9k2Po6T8rPeT9cZIHJzkvfcdyzRyrOnQY/EmS06rq2hPvEddK8sHF7Vprz04/zvqPk/xWVW2aSsF7obX2pSSPSd+hf0f1Eyu9PcmzW2v3Sz8u/vNJfmV6Va6+1tpXkzw3/X3idhPrX5Xk1UmeU/2Y+VnqgNiVDUlutbjPliSttUfk8qmy1xl2iNf8ftxEja9J/4x/UpJHJHn8LAby1tp/pY8m/l2SV67hQH5Oesg6qap+eXiPfGeSl7fWZv6kzyu0IX2qdpKktfb1JG8bvm5fVTeYVmH7y/D+elqSW6R3gt4ovb17HchrHe7z7bWquluSbyX5dmvtI0tuu3H6E/mlJC9prX1gCiWuiqp6RvoxOJ9Jck5r7a0Tt21IcsckL0zy/4ZpbutCVb0i/Q/+TUvDyjA69fok25M8o7X2+fErXB2z+vpdkarLjwFcsv6QJEcluWn67JW7pu90v6K1dvGoRe6DWWzf0jYNbdmYZHP6tNH7JDk8PYwf21rbWVUb1ssxncu079rpH7p3SO8N/9n0tn0pyd1aa99eC+0bduzvnj7qfUiSh7fWvlpVv52+4/ArwwhGquqWSd6SHtIf2Vr72pTKXpFhZ/iQ1tpFw/JR6Z3qD0jyF621/zWx7VuS/FNr7UVTKHXVVNWvJ7lGkg8l+Vh6p8qfJ7kkPRR8aNju1kmenT6F/dtTKne/WO79c/g7/+v0Dr/nt9Z2TNx2RpKvtNZ+bdxK90xVPSi9Q+8/W2s7hhkfb0z/fP9oeufmy5M8bwg5697ka1lV10ny+CS/nuQhrbV3Dvvii+9Jf9Ja+/QUanx0kn9rrZ1dVTdMP8fGnZPcLcnTWmvPXGzHsO2XW2vzY9c5LVV1/yTvaq19cVj+eJKPtdbuP7HNDdJnEDyhtfa66VS6f1W/wtHTkvxr+v/sZ5P8QvqhJp9qrf3OsN1Bu+0gba0dEF9J3pA+leJfkywkuefEbQcP32+SPmr+hiTHT7vmvWzn64Z2Pia9l/U9Sf73km0OSt/x/88kL5h2zSts15vS/9l/qB3D90OG78emnwTrlUkOn3bNXr8Vt7kmfn52eqfY36XPWLnmkm0fmn7CoqcmOXLatR+o7VvSpjsk+Zkk1126TfoJ6U5PckGSawzrN0y7/j1s39uT3HeZba6UPi369PSTaV1lrbRveO5/Kr2D8o1JrpPk6kleMbzH3GHY7lFJXpDk+tOueQVt+uvhef5iksdNrD86yd+mz3LbNKz77fSTmx0z7br3sc1npM/GeMfwd3hG+okDb5c+MjOf5OeGbZ+QHtivOc2a98NzMPm/eNf0KfrXGpbvNzw3D5t8/0nykCR/M+3ad9Ou+yW5LH309V/TO/cOTp+1eWb6CTDvMbx3PmMWXtfl3hvTO5f+NH1/5qeHdTdKP4/TqxffV0es8Y1Jzk4fpV98Tz8yPXSdneQ+E9v+TvqszNtP+7kd8fk5M8m/TL6e6bMZPpJkfsm2f5fk/tOueT88B5PvSfdM309/ZpIbD5+9v5ihI23F9zntRo30xL08yb8OP98s/di5l04+qbk82B0z7Kys+Z2TZdp54+GN/frD8nWHN/yPJvnzJdselD7CepNp172Cdr01ybsnlo9JHzm+8eJrmORKw8+3TT+r7roL47P6+u1B+98wtP8h6VMN35vk5PxoyHto+g7YKct9uK/Vr1lp35IPor9PD0hfSPLaJHcf1m+Y2OZK6R0MX0uycdr172H73pjkQ7vZ5pj0kZwPJbnyGqr9oPRA/sb0UH619LO/n5rkv9OPc/uvJLed9nO+gna9OX3W053SOxAuS/ILE7cfNfz9vTv98IgdSW437br3sc0/m+TDE8snpJ+x+KPp4eDmSZ41vIZvTx8pX9dt3s3zsdgx8bkk/5QejjYMfw/bh/fLY4Zt/3DY/sqT/xNr6Sv98/6M4X/z1PSd9xcNP79i4r30xPRDLm427Zr3sb2Tnwn/M33fZlP6/tuV0zscPpvLA/mNk9xl5Br/NpdnhYOW3Ha94W/ubelh67fSj+8/btrP7YjPz5vTR8SXu+32Sc5PP6HyozOco2S9/90uaeOGJcuL+fHE/Ggg/+X0/bhbrei+p924EZ68W6X3ztxiYt0Dhz+aqyzZdrGX5+Bp172Xbb12+g7+iRPrDkk/Q/MHkjx02jXuRZtukb6j/4Jh+XHpIyBnp0/Ze8CwvnL5DIdDpl2312+P275peDO74cS6308fdXxckqsv2f7XJrdd61+z2L70k9q8b/j5qPTZKy/ZxbZXSg9L6+aDOb1T9qMTyzdOD95XW2bbWw7b33iK9R488fM1J36+w7AT9drFv7P0kxL9jyQ3mvbzvIJ2PS/JNyaWK8n/TT+D+CET66+fvqP8vcxAKE0P32clucHEuiPSA9u7klxvWHfMsJ+z7gYQ9uC5eFiGjon0Q2Eent4B9or0QP5r6aH2i+kzBv4r/XwrU699mbb87/RDRZI+OHRmehD91eE1/6f0k2I9N5fvk153WvWuUpsnOwnfnN4pfdHw84PTZwQckn6ui68kuccUajxseF+59sS6G6R3mD94eI//sfSOnk+kn69o3b/P7MHz88T0KxYtLj90+Bt9UZJfH9YdnN5h+PJhf+Anpl33KrZ/sjPpqemzHJ+zuD+Q5F7p+3h/mj5bqxbfo1d0/9Nu4AhP4HXSjye7+sS666VPC7rykm1r8vt6+0rvXTwjyeuXrL9G+kl6Xrje2jf8c29Ocm76yXrOT58Sc/v0E159JclPLvc6rrev9MDytll6/VbY7oPSR3o+v8xr+cT0UeS7Lj5H0653L9s4U+3L5VMpbzyx7i7pU9WukR8Ohuvu7zX9+MBPJvn9YflxuXwGwBuTPGaZ35naa5fLZ3YdlN4p8C/psxaeNKy/3bBz9Lr0M1BP/TleYbsOTx/9fc3EDt9h6TvCH04/a+/vpu8o1/DZPhOhdPicOy/JvZasv/XwOj5o2jWO+FxsSXLaxPLB6dND35S+U1zp+3o/nz5quSZnjKWPnH0lw+EUw7pbDO+l29I7Vmp47Q+d2GbdvYfuov1/leQDE8vb04P51uE1vXL6+RB+ZuS67p7eyfOV4W/oWumDdl9LP3b948N76s3TO/2elOTm034+R36O7pAeNl+aPgvlU+mj389PnyHw5CXbr4t9mb14HhY7k/4ifTDlw7n8ELyfHW57dvbw8IqpN2ykJ+9KS5aPSD8O57rD8kMy7Ayvt68kv5Q+ReJ/DMuHp/cOb1uy3S+kjyav+Wmiy7TxoOHN8h0ZwszwgbUhfXreI6Zd4z60belhEtdLn244M6/frtq8zPoXDx/ORyxZ/+ok/zztuvemfUt+fuEstG+i7gflh3cqb5s+hfZHRo7X41eSR6aHwHennyTqdkmOSz8297QM0xN39fc8hXpreI98efqo92PTZ9q8ZLj9juk7/a8a3lPXRN1X0J5npI9A/Fn6NdHflD4F/T/Tp4v+QvqI1Tnps6T+Ya23aYVtvtvE8lPSp3redsl2r0rysmnXu5+egx95/xzeay5Kv97z4m0b0gPT25Lcctp1r6Bdz04/KevhE+sWP/dvkT4i/teZodHEJe0/LH1WwNHD8u+ln9dh27Bv88j00fFRB8UynPNj+PkP0jtcz04P4b83rL9z+rmmHjQsr8vZs3v5/EyOCN9qeL/9ryQ3nVj/y8Pzc/TE3/S6fi/exXPxpPQTJy8uPzn9kKkLMsxGS79Kzp33+L6n3biRnsClx9EdleTzw/Ijk3wjyW2mXedetOvv04+Pfk36sTaLJ+W5bXpP1XyGaaG5/LiqdbmjnD5qfOTwffLN4e/Tz8I59Rr3ok2vy8S03lw+zf626cc8zszrN9HGyf/Few9vXLcdlueGv+UXZ2J0Kz0E/XNGPpHLKrRv8eQvi+czuP16b99Q79Jj6RZ3no4aPqgXp1beJ8nPT7vefWlf+onA/m8mdpDTDyc5P8nvTKm+yb+xoyee72PSD+G59rB8pfTZCu/M5Sf5uksmpj2v1a/04P2O9BN2XSd9tsUfpu/0nLFk22ulX43gptOodRXb/NYkH1xm/V8l2Znkp3P5lMinpZ94b82dU2Ifn4PJv+1D88MnZTs9/bwMV5lYd8iw7knTrn037XpcJqb4Dus2DP+bNxmWfzy9Y+HVSU6Yds2r0OblTtZ22+F96YHpx/5fL8k10ztaXp+RD/NJ71R958TytdOPZ/+FLDnMYXhtfnP4eeaC5m6ep4MydBKmz9r4oZl86Z2/783EFP9Z/Bo+j+49/PyH6Z1Jt0qfJfDpDCeW3JuvdX3d15VYeqmZ1q/79sUkZ1fV09JPNLC5LbnU2VpXVa9L72G903B5lzckuVFVLbTWPlxVx6UH1b+rqsvSd5R/obX2zWnVvDcWX7/W2vfS37wnb3tU+tSZJ0yluH1QVc9JD2ebhssePLy1dulwuYzF1+9NWeev36QllzR5U/pO9lWT7Kyqk1trC1X1xiT3T/Liqnpca+2C9DPKXj39A2FNm2jfy5Jcr6p+o/VrA6e1dk5VnZZ+4pp12b7kB9fY/MHrudjm9B7ia7R+XevHpR//d9y06txbw2fEQa21y1prL6qq9yb51HCd9Nb6ZcLem97hOaol/0MvSD+m8bzhGu9Jn+Z5eJKvtta+V1UL6VO6b50eYt87ds17qqr+Iv18CXdYsv6lw49zVfWw1trLhuWvtzV+Sbbdqaq3Jrlqa+12w/J1k3yvtfaN1tqjq+ob6ee++WBV/Vd6R+ad2zq5TOBKTfxtvzr96jbfr6rPph+S9oj0UdT3VNXm1to3W2vfHf4Xd06t6N0Y3je+nuSSqnpwa+1vhmsP/2uSi1trFwzvN5+sqiekd7789zRr3ldDe74//HyXJGmtvbe19uFh3THpl2v7YlWdmN4Z/czWrzU+Vo3z6SO6dx6Wr5Tka621/7vMto9KD6GPTi7/O511E583T0kfDHtX+uy3DUky7Jcn/XP+e0lm5nlZ7jKlrbX3VNVVqur49MOf7zL8/74z/Tm4XXon8h6bqTA+vJG9tw3XCF/yhvDC9OtTvz29Z+5e6b0cm1trC9OqeW8M1xP9Wvp1ZJN+MpPbp/8h3KOqPjzsRN41yW2SXCXJp1trn1v2DteIlb5+wxv5r6aH8Lu3KVyHcl9U1TXT38wemT7C9sHhTe9hrbVWVQe31i4cPsRumx5Y1/zrtzsTO1p/lz4yfKfhusH/luT4JB9vrZ1WVZ9Jn2L74ap6d3qHy8+21r41pdL3SFX9WfpxZ+9P8qKqelRr7StJ0lp7Y1V9Kf3QmHXZvuSHP6gmPrC/n+TCqnpG+t/2T7XWPjXNOvdBTfz80cmdr6p6RPrxqk8fu6iJ/6E3p3fgPDR9Rs1lVfXp9J3456Z/vqX1a7ufn6E9y12veS2pqqumh7A/HJavNHQqVGvtC1X1ovTZCnevqqu11p6/ltuzElX10+nvFz81LD8hfXTu6lX130lOaq09parek36I3aHp1zo+b1o1709V9Zfp07Yfkj5y+vz0HdxHpYehFyb5ZFW9Kv2EWg9N3/9Zk4ZO9vkk303yjKq6dnqH83mttQcP21xWVTdJP0/FSa21dR3GJzps35Z+nPVBVfXvSX5xuO3HkjytqhZP2nZSa+3jY9VXVaenzyp6TpI/raqnDUGrlmx31/RR8oemn1h3Xe1r7q2JQbDF99ZLkvz80GFxWWvtu8N210k/3v+U9Cy1rjtFFw2fN4v7N3+YPlDy/iTvaa19a/ic2pHkW1V15/SOml8cPqP26jN2ZsL4MOJ0RJKvDqMB3514Q3hj+hSgxw6bX5Z+XN1z1+kH2vlJ/qC19s2qulv6B9Rth/X3TPKWqvpSa23x2upr3gpfv8cMm38jvTPiTuvx9Wutfb2q/rT/2HZU1R2SnFVVGQL5pcN230k/m+7MqKo7pl+X8y7Dqsek97jebgjmG1prz0ry61X1U+nHS+5orX12KgXvoao6Ir2H+HeSfDU9OLy4qh45EcjfleRdVfXXWWftS/pIz+LfaFU9Nf3Yurel94rfJX3n6+7rrZNz0ZL2/VH68YP/UFU3TT9m7JfSO08umFJ9z0ofOT5+Yt3N0o+vfm6SZw6dPG9Nv5zZlvRphOthROfK6Sdju/qw/P3k8rpba1+qqq+lHzd+h6q61nrfAWytvbOqnp7kjKp6S3rH5BPTw9vjk5xTVbdsrf3TNOscwzCKfL30S3l+dFh9m6r6p/QR4/u21n6uqk5Jn1l1tSR3bK19YjoVr0xr7dv1/9s793jN5uqPvz9mGJdyCdUkopRLIpfcGXILySWh3BJTroNKpDQooanfD4lIUlIokfutkEwkJLfIz60QIbdccvn8/ljfx+x5nDEzZ845+9n7rPfrdV5znr33c+a7nr2fvb/ru9b6LOkXxKR+AnHP36GzX9IGhA7A2r1uyxvRtUi7MvGsX5Jo03opcIWktW0fUBzf0cDmti8YwjFeQojjfaA8r/cjHPL9bU/sOFPF0VyAyDRa2/ZtQzXGunFkt4kojfkLIT77RCUS3lk4XY/I7Fu7qc/7vqgsep9BlEA9RNyXV5c0gdAVMFFqugxRsvbP6nv78582/ofoDfiHzufXtW9potaoU7/Z6PZXU7B/7qpNRHr6UXWPa5DPXytq5Sr2LEKkvZ5cXh9ApY9um34oAmaEKN+tRFRjHmL1+RJgh7rHOIP2LUmknAJ8uNywz6RZKtadOvApKqISabN3M7ly+ik0oO/qDNi3H9PYN3SQxj0rUZK0UWXbOwnNkPuJur0PE4q3PyDqTxujh0I44TcBh1W2zcQkUaDRhAjUck36Pk3B1k2J7LYFy+uDiAW8ZbuOuxvYovK61fWqRMvEs3l9t5vreb1eQKM+CyLLbdvyXd2tbFunnPft6h7fDNpW1doYA2wFfKuybQTh2F1BVxthInNn0M8l0Q7vhq5tSxAR8qspQsiVfaOA2ev+bGs6h4cSomx3EAvSr5ZtG5bPrDOP63eddK/98Po+4t+o/P5pYh73dSKQvTghnr1y2T9D129nQtJYSrTiJGAz20+VbW8naqpeIARRbi3bZ3ZlZactlBWsakr3acAtto+od2RTJ8/fZKmY7wauIdprLEGs+LcmMt6dviNpAeA5l5pqSW8iFJGvsX1gTcMcUCqry7sC2N5K0taEKvDxtQ5uCkhakIikXm778RKtOp7IRrmHEKBbjojEblmu3VGOTI6ep5/2zeKSmlcnkuYmyjoOsv3Lsu1jRL/wY0sa91rEuG9r4j1T0ieJRZ2dbP+sa99eROuqj9t+pobhDQiSfkUI7s1ELKasZ/uPkpYE/lq2v1oOvxwYb/vqWgY7SEwpnVPSRsT98nSinVknJXZBYrF2x85zsVfLLt5oXJJGEWV2XyM6NWxKRNZO71V7poaKxkb5/ddEHfZjRPbCezvfVUkjCLGrh4l62yGzVaFTM7/t1fvYtySwM9HnfT/b1w7VuHqNMmdZAvhbefYtQ7R9+xFRXjCROL//RywSPlHbYAeQ6nevZPwtSAQDP1OepSMI7YoNiMW0b9h+uq/394c2pKk/Raipri9pIlF39X1iNWcJ4NKSfnJP0yYlU0KvF6Xr1Gt2hCbWJtRWm0Cev7jhjXQIQfyEeCgs7Ulpeq2gcqPrCH89WF6PKLufVdSVPVs9rr4RzxidCYqkq8qmbRX18AvQ28JmnyImiyMlXUBEE54hnhfvJyLDexKTyE5adyMc8UJ/7KvdES+8QqR+fpBQAsb2uZ2dtneTdCmhPg7w8pCPcMY5mzgPx0saTdgp4pztT9QmNtkRP5fIcFjWUU98PnC4pPWAO8o9r+PY7EKUb7WqVrVr4rsroaj9mO0fEunMGxICSS9KOq98/x4lssde6PydXns+SHqb7UfeaFy2XyzpryOJXsW72T6jOEGNpOKI70RE+UcT96j9gcslfax8Lq8oNH9WHWJH/CQizXjhyrZ3Eq1yz7B9u0Ig8hXgB5J2tt2IEs+BovKdPIoI7u1Vdt1aztuVRGbKOZIWIYQz2+KIV8srTiNSzycS18s6kh531IOfQmiOrU9c46854zN8PU8tdN6rP0RN5sbl9+8Q6Xm3ETXSnd6ASxJRxh3rHu8M2PkFIkLaeV1NIzmOWFGHSPU9lBAVWK7ucef5m+bzt27l9aeISVjPn78Z+Dyqbem6SxJ2I2px3lf3OAfIvu4WYD8mogU9nzZMRG1+S9T0/6BsG0mkZV1CpEB3Mqtmqmucw9E+oi3QC8Cn+tj3uXIPfWvd45xBG+dgku7C3cB1xOTog3WPbQbt2qbc41epbNuLUAmv3jsWBMYT2Rptfh6cQ6Sf/y8xsf1W2T6KyFb5NfAtJilZ/4PQS6h97H3Y8kmiLGSazheRsj66/D4kadoDZGe1/dxsXfbfBhxTXo8EFiVatP6BSn/17r8zBGMeA9wJbFhed0p79uw6bikiDXnhuj/nIfxsulOzdwfO75zDyvYTKGWUbf0hhBW/WXm9W3nu7NG5finZTAP9fzcyMi5pISKdZB1J/yQmVmOYpBp+U1nluV3Sb4hIQuPQ9ImaPUw8qFZ1jysY5/nrU1QQ2z+T9Cfbd9Uy4EFGrxf+uoEQxlqGECragKiFbaT9U7KvvF6XqBVcyT3cRrGTjm37UEX7nbFl+wK2H1S08BhBKKj+XNInO9d0E2iJfWcTk8ZO5PgXRL/lrYia9rVsP1rj+GYYRwvH75V07rcRmQuPu8FibZIWJ9Ibv0Woau9JLDR8ATjck7fReQtxTtfo5fvFjCDpCKKP+IfK658Cl0k61fYtksYRdZobEGULrxCq2/+oachT4zbifrJzCTLeNJXjX7T9MPRehH9KdGU0fBGYW9KxDvGqh4BbgLUkreiILN+tUKP+NiFQuLJLltFQ2mz7KkmfJcRU3wV8GTjR9rHFlk4ry1sl3eXeyYQadDxJrG1pYoHiX0SmCp35TOFvwPItyFisXsPLAHc7xLDfT+j7/EvSSY5s3OPLPGFrYBZJPy/X+sDfg+peiZiBFYxliZYXvyJa6PR1zG7lQ1uk7vH2w77pETWbufzbUxGcPH/TfP5GUFmBbPIP9FsYay9g8brHP4j2LQW8q+7xT8W2jpjOzEwSZ9mbWFTYgUlCkaMIRfEzKJGdJvy0yT6ihm9PJkWOr6HN4QAAHUpJREFU/0hkFzU6ctzWn/I8+Hm59y9FZINdT5Rp7VM5rhp1bI3IbMWmN5d/ZwWOALYur2cv1/TN9BFZBuYH3lT3+Kdg07rlZx5C1OkyIqo/RSHLyr1obmCbum3oh80Tyn1naypZOMBKRFbR6Uye/bFoL9ybiDLIZ4HTK9saM28ehM+jM5/5LiHWdh9RJvIqcCARNFusXKfvoMFZi1V7y++HABcBH2eSD7U6kXW2f9f79i3P2HcN2tjq/nBm8MNcFjgGOIvJ031XAr5J1Bg1LsWLkNK/Apirsu3tRLRmB2CpyvYpOgW9+JPnr9nnbyp2L1gezvOW1yPLg3kCsbAiopzi15WbX2Ps76d9jVD9Z5Ja9UxESuH4ip2HECnd3Q7rHHWPe7jbVyZIy5V7TmtUbdv0Qyw4X00ItnW6LCxGLEbfR5ng0pIF2Tf4HOYBLiaE+QAWAt7WdcyVwMcqr3tayRo4rNxPDgKWKds+QB8OOZMcn44jPi8hGDmmbjum0+Zdyrjf0m1bxf6TiPT01esebx/jXw24nVhw7enraxA/g+7U9FHl3zGE5tQ9wN+JlqUPEW0y5xrqcQ6i/d8q996lK8/8zhzhI4TWygFd73nXYI6pMWnqko4Ffm77mooA1E1F82In4DOSHiWETpYjUtua2huwdaJmef6aff6mkf4IYzXJ/v7Y1wgBLYfQnIjJ8D22DynCetgeL+kQYHtgVklnODofNKZ8pK322X6ImCwlPYikbYAFbK9U2TYHkQp6PqGR8UNJB9q+uukpoFNhVqL2f2dJz9k+AyJFmHDmXiGyVlS2jyPSoA/z5Cn8PYGkrxP3jBWIEopXSrrzLZL2Jergx0o60fafbbvzTJA0LxFp2932VW/w3/QiCwJH235C0YliDuAISbMTDs5RRObHgcA+km4lxL564rouc9DdCM2eWSWd5WGUlt4RKyvfuz3K5ieBUx3p/DMRGSrH2b5M0qLAM+WZ2HgkjQE2IhbK/l3ZNVrSf21fLGlD4NxS1nYogO37B3NcMw3mHx9gfgucJ2mFclMTgKMu5yfEjX4Fh8rqqcC4pjlykvaQtLHtxwh79yZSRvYlZPRXJloKrAOsUd9I+0Wev2afv6li+0hCkGdnIsp4l+2PEnV0xwDvlfSDzrlnUuueRtB2+4hUwv/Y3ra8dnkwY3s80Wt0k7oGNwC03b6k95iHaAGEpLkkrUpcZ1cQ/dLnJJzy40qdbU84LIOBoz76RMLefRUt7HBoMsxcDnsJuK/sOwK4oEcd8cWJ1PSNPLk+g4uzcyuhg7II4ZAuB1GDWxzx64h2ZhcP9dgHgBHAjpJWIQQJ/0yI7c5MRJ0Psn0Hca4Ptv1kr13XZQFkb+Icjap5OENKxRG/kUklFntIuqzsf5UQTt6gLA7ebfuR+kY84LxClL8+L2kWSe+TdA0R/b9T0ta2LyM0WA5WtBwedBoTGbf9K0nPEwIf69u+vhJh/ZOke4HNJP3I9rN1j3d6UctFzfL8Nfv8TQ21QxhrirTRvj6icLMDq0ha3vYN8FpEeR4iJfHLkuZrygp52+1LGsGtwARJRxPBj82JetrfExHVMURJ1rlEWVYr0SSBrAcldXrH712+oqfb7rQr+ztR+vMeIsX5xloGPHVmJUT2nlSlLVK533QWD/5KOHzfBzq90mcj+sbv3VBHHEJMb2HgKiLY8FPbBwFIOpgSaLB9dT3DmzZsXy5pou3n6h7LUFF5Jo4D7rO9maSZgbcSkeAzbW8FPEJoNfXUIsoAMYJoS/YlIgN3LUJp/yhgY+BUSdfaPk/SW0twbdBpUmQc2xcRisSXSlqp60J5kvhAG4ntB4iL4e/AV4DlbV9o+1clekyJKO9GRFevq2+0/SPPX7PP35QoqXf/lTSzpHfYPpioGfsvsTgxt6MP9eXEg1xEDX0jaKN9xabuB+3tRE3nGEW/3M5iwlgiujPzUD2YZpS225c0g+KQ7EJEDJ8jxNq+aPscomRChGN+kO376hrnYFKc1U6ZSOdZeQKxALGvIpW/wzsI3Y01e9gRh3DE5wdeqkQaX6NEjXdzdAbZtETKAeYjBNsuGNrhDhy27ybS85cFPtNxxAv3Ac9IenMlQ6xnGU6OOLxOwd6KMoOXbT9I6N4sWAJLpxBaKq2jZEWcQCyGjiRKLraw/TvC5puJjCaIDAGG4lpuTGS8g+0LJW1LpDzvTkjxL0us9KzdxJWcSoS4WkO9d4nGXV6OWYmoRd0F+Ijte+sbcf/J89fs89dNiXi8XCYjvwMuVrQ6OVrSW4jWNEg61/aTki4ELnW0Lup52mhfl03fJ8RKJgJnEm2zPkc8lP9KtDg5gPhuNqK+v+32Jc3C9umSfuXX16UuUf4d0etZNP1Fk9enflPSm4gWSRcAR5bD9i7P0J8TC9mPFYevp5D0EeBp2xOJZ8HNwP9I2tX2MwoNCpdzuRSwsKRRhHp3Z57w97rGP5CUedpkZYSK9p1HA9s7yg2THkChbTDB9tMlK2VPIvg1P6GE39EcuYcI0M5mu7GBsTeikqFznKQfliBKlbWIrg5PwWsp+92LGINC45xxeM2h+wRwMFGn8hKwXmX1sRFoeImavUaev2afvypuqTBWh7bZV5kcC7iGEP/6D1Ef9UFCdOcxYH1CsO5eom/1X2oa8nTRdvuSZlJ1xCW9E9iCiMKs7Qb3Tp8aFUf8OqIV1m2EANgVRNeUHxPP/4MlPV8yBnoOSYcDGxILCvPY/reiL/p2wNcljS/3fiRtQOgBbFed7Dch0FBJY56e9ywDfJL4LD5r+9z+/J1k4FHoEywO/F6SiZ7aTwCnSPo08AuF2OBdhKjZ7ES7zFbSmc+Vufpr301FqdpaREbALnUEy9Tk74ukNxPiCy838YEmaQsi3XV9R910tRn9CsTE8XzbJ5cVZfdyxG16yfPXDiS9FzjG9obldUcU69Xy+nAiUrCdG1iP2zb7iqO6OdFOcPeybStCKf4BQnTnKUmzEt/NRijCd2i7fUlzkbQEIRr1IeDTtv9c85AGHUlbAzvbXr+8Pp0QNlvZtiXNTzhy5/RixlhlwXVd4H6X+nBFre1uhCP6VqKdmYgMuH1sn17PiPtH1/zlO4R43m+n4X2LE9oHd9j+Xbn/NmLxoc0o9E8ek7QAUT75ONGe67nKMb8EFiDqqOcgshp6uTxkwFGoxX8eWBk4zPZZdSwmNdoZbwMKCf2fEQ7d9X3cEN9L1BzliepBhuP5675RlZXxq4B1bN/QSQXSJGGs/+s8GGob9HQwDOz7JHAaEaXayCV1UlG7uSnwArBfU+zppu32Jc1FUaO5JJGK3cqWdJ37Y+X11kRp1k4lmrw0URf+MvAJog/7q+6xVP3iVI4mylvGdZyUshi7DlEvfqWkRYgOG28ndG8mVrPlahr+dNE1bzmSsGdJT64U/0bv77RsE+FX9NS5HG5I+i7hfJ8GPExkob6J0Cva1BV9ihJsGAX8yy1RTe++B03D8SsAzzkElmtZTGqUgFsbcYtFzYYDw+38qeXCWG20r5NW38FRm7k7MDewmqLvMSWSczFgGlTC1Hb7kvZg+2Xbf2mxIz6ykwpaIt4Qaa+bSTqXUOFeyaHPsD+Rrj9bjzpvcwLPE9Hu5yXNVybtdxBaFBdI+r3te21/1fYutifYvgaaFRmuOOITiJKepfrhiI8of6cxdrcRSecQmTfnEQ72s7a/SHT4uQ04R1Eqg6TNCSf01rY44jBZ1uIXJC3VcbC7qTjef7J9e/nddXx3MzLeI0jaiKhXqIqafYOoKWtULfVwZDicv0pEuC9hrM0JYaybiZYuVWGsm2sa8nTRRvu6IharAfO51GVK2psQTvwqcK5LCYWkOW0/Xdugp4O225ckTUGTi7VdXX6+YftZSYcBXybaXv2RaAF5CPBh96Beg6RDiaj9hsBxRJ37I8QC302ELXMRQm5H2Z5Q7K5lIj8QSPo8MAGYs3KvnImIrh7kPkT1Kvff+Yhn5YpuYMlhW1C0ltvA9iqVbbO4aFZImgs4HliTmK8eCCzhlgm2lfnA24DrgS1tT7F7UeUangN4T133o4wO9AhuiajZcKXt508tF8Zqq32epCp+LaEQOl+ZdH3boQg/CzAeGKXoMfpckxzVttuXJE2h4oj/icgmOtiT+od/k8gU+yGRLTYnoenQU/fPcv+fhagPX4zoeb4Lcc//N/Cg7fPK4Y9J+gPxrHgtGtdEiiMyGvgNsAFROgBxLm+diiM+L+GIfyEd8dqZg9Ax6mSMLUWIDr4CPGH708CnJI0H3g0s0xZHvCs1Xbb/KekaQs+hz9T1rmv4D8CWQzvqylgauojXWtRwUbPhTpvPX5motFYYq232deoAJR0HzG37U2X7Y8DZtseW1+OJWuq1muSott2+JGkakrYEdrW9bnm9D9FC6X7CsX0HsWg2shefj5XsqNWJ8rPlgTcT2hP3dh07hogab2n72qEfbf/p3DvL72+1/ahC6OszROeX84nshdtt71R532jbD1ecmLcQDvvuti+uwZSkgkKT4T1ECcgawBeAS4hOBlsC13bOZymva107T0kHEBks5xP3nEts79PHcTPbfqk44tcRuhAXDu1oK+NJZzxJkmlBLRfGaot91dTt4qz+Evi+7cslnUS0FFoWmA940vYLkua1/XitA59G2m5fkjSFTkZR5fUywHeI9NCFCbG63wGbEIrqv6ljnNOLpCWJjJqvAvsBGwOr275X0iqEw3MssfDQZNX0rxLR00Ns3yFpQUK8bVvgKdsrVN63AXAOIex2b3Fi/gJ8xvYlQ25I8hqVZ+FsRBvW+YiSuk43n5mALxKLS9s0tZSiLyq2C5gVOJLIEJibKF0TcZ0+QOg9PGD7zPLeeYmymT3qXkxKAbckSfpELRfGaot95UH7GsVRHQlcIek9RK3jipJOJZzUD5Wo/n5E9APgiaEc8/TQdvuSpImURbFXJM0kaXxxYO8nHLZZiVKe5WzvRURPF6hxuG+IpK9J+qKkFQEcYk63AMfa/ixR/36VpIWBFQmHdXvbpxcnoDFUHPEJwKeJ2uEnyr6/E2nOpwH/kLR9OXYM8HNgbHHERaTvj01HvD7Kc5COM2r7edsrUa5R2yeX/a8SGgcv0YNzmP6iSaKBENlxz9seZ3tnYBtC9+HPwAXA3wg1+YfKe+ciIuJ71u2IQ0bGkyTpA7VcGKst9nVFOcbZPqb8/iVgedtbS9oB2Id4GK/k6D26J/AlQtegZ2vG2m5fkjSRSjRqJkLQrFMjfmd1X0n5Hgd8BVjV9v/VOvA+kDQaeJBwSK8GXiEW8kYQadtnOVpa/opQqV6TUKB+pOOINy3SKGkLIoK4motqerFlZtv/LY7KvsD7icXO7ShZAJXz+5owWDL0aHLBxKOI1mXPEroMt3jy9oJ7EXpGY9weHaPXasAlHQ8sSiw23Gt7j7J9DJGq/kHbz1VT8yWtQbRUvKYeCyYnnfEkSfpEXcJYwDOEMNa5kvYjogNHAGfafq6+kfaPptvX5aieCyxmezFJlxIPpQm2ryz7v0akjM4P3AV8FPiY7ZtqGfw00Hb7kqTpSPoF8IrtbcrrhQg17lslLUFEpz5HlP3cWONQ3xBJKwNnEB1QxgAvEn3D3w1caXu3ctx5xDPiqrrG2h+q99LyeiyhfD5W0igiG+w4YF6iL/XRwK3EIsqOwD62zywOe/YR7xHK+bgeuIfI3tuRWDz5ZTlf6xMLSssDW7XxeSjpBEJscf/y757Af2yvXfZfR2Sx3NX9PeglMk09SZLJqKTdHQvcbXs928sSzs4mALYnEGlr42hY2lNb7Ks4qmcTKVqLlV0TiZY8S1WOPRQ4jEhJPAdYs9cfzG23L0maRnfJCPAv4MeSZpX0I+Bk4NqyOHYXUau5Wi874gAOAbYdiDKl04hI4yll98gSKcb2JravalJqetei5uElKv4wsL6kPYCxRAeR2YFLy9sOIFp7fo+IpnYc8UarxrcBTV5etzrwuO2tSkr6xsA/gY8rOon8HricaHfW2Odh59pTMLKyfV7gvcDnbV9n+yfAZsBskg5U1NDPQYgw9nQGS0bGkyQB2i+M1Ub7yrg3ABZ2EVIqE+a/EDWaW7ohokl90Xb7kqRplInxaNsPSTqWSNu+m8hK2Rr4MLArsA7w316eAHcjaW0iQvxV22cp+me/YPvZmofWL7oc8e8QrTpXILLB9iac7ouAv9g+ohz3cUK8boztf9cy8KRPKqUfnbZliwDfBRZx6e5SHNS7CIX7M+ob7cAjaZ7ONVm+m08S9eA/tX1q2S6ileJbbH9O0pttP1PboKeRjIwnyTClO8rhlgljtd2+wqnAc0T/cxQCQ/cQ6YXfAs4rE8ym0nb7kqRpHA+cKulttvcE9mCS8/YQ0df3P0SwpzGOOIDtK4iFhCMkbQ483RJH/GtECvNCth8BXrR9JPA+QujriMpbXyKc9VmGeszJlKk44iJEyXZmUtuyr3aOK8GDi4Ge7voyvUjaDLhZ0lylVO3IMl+7Fxgr6e3lMzKRHTCzpJmJe1HPk854kgxDyoO6I34xrrLr88AjDqGd64jelKsSaU4vKISxPkE8BHo27aft9nUotYufBf5H0q7AVcCPbP/a9uHAt4HfKMRKGkfb7UuSXqeP1PSvAbMB35O0kO2rbd8CvEfS/sBBwAG2XxjqsQ4E5Z6zM5Gi/bEmpaR36HLEjyAWS+4jUnqrx/zL9vPl9WyK9mU/BY4qTnvSI1Qc8a2B6xyq4c8TZRXLSTpB0lKS9iWyUu6pc7wzSh/fu6uB3xCq6HM5FNOxvSvRvuwM4Oul9OIQom7+paaUVWSaepIMM7oe1K0Txmq7fX0haU3gQqKv6DZd+75CKAL/tZbBDQBtty9JeoXq/bOybWQnDba8ng84j1Ah38/R7mo7QqxtT9s3D+mgBwFJaxHrsY0Va5N0NLApoYa+bvn5ku2JXcctQUTOtyIWUs7s6zpIhp6yGOZSWrc7EQV/gugU8rCkOQnRwX2AUeVtezVtDlOl69pciwig3FGu5z0JccHVq+nnkg4hStdmAc6wfUGTruF0xpNkmKIQxprX9prl9cFE1GOc7WMrx30A+CDwKHCX7XtrGO5003b7upG0GtHG4yvAJe5BBfgZoe32JUnd9OGgPUmkLO8HbA4sW9k/J3AjcDMhoHS/pLltP1nP6AeHRk3oJz9/RxFO+OKOdo9LATsRPaj3rzrkkt5OPAMft319JyrZFLuHE5K+TGTv/S/RevWpyr43Ee26WvFslPRN4CPAocD5wKyEGNshRM/wDW3/oxw7i6MtX+ffRl3D6YwnyTBELRfGart9U0LRV/M4okXPWW5ZH9i225ckddHlyJ0KLE0oat9AdJbYm5gMb1QpAdqbcApOJCLiL/f1t5PBp+v8TSCi3Cs6+qF36o3fT7S6es0hr3HIyTQi6SLgUds7ltdHEu3KTgbOcwMEyqYXSV8HPkU44w/YfrGy7x3ABOD9hIDkB4lAyyaEHkIjUtOrZM14kgxP2i6M1Xb7+qSkVO5N1MaPmsrhjaPt9iVJXVQcubOBhYlJ8I8Ip/x9wJcJZ/yiytteIL6PR6YjXi+V83c44Ygv2133bfs2Irvoj8BhqbXRm2jy9mUAhwOblDRtbO9PZKXsAHxC0hxDPMRBRdK7iLnbJrb/ZvtFSTNJWkXSKg6hyF2J0sI7icXCn9p+vomOOGRkPEmGLSXK+H3gaGKidbLtQ8q+Q4napDG2r65vlP2n7fa9EZJmb0uqWl+03b4kqYNKRtG7bb9Utl0GXGD7qJLqfCghenkhsD3wvqaW9rQNSaOJOv6xtn9Yto0AzgL+x/bvyrbFgHHAcsCGwFNNSedtO1N6tklamegDf4rtcWXb94hMvx1sPz20Ix08JL2XuGZXJsTZFgV+RghHzg7cZHvDcuxawL9t39ykkpJu0hlPkmFM24Wx2m5fkiTJQFEWME8E9rF9UXHu7iDaA00k2kEeQzhytwG/K9HWpEcozsmxRJ3/VYQK9W22d+g6bgkA23cM9RiTvpH0A+APtk8u9dIz2T6gsn9F4EpChHZ82fZW24/WMuBBRNINhBjbnYQz/meiK8DCwCnAwbZ/XNf4Bpp0xpNkmNN2Yay225ckSTJQVDKKjiEyin4CnASsB6xB1GjeCHymbWJtbaE45CcCI4GJtrcr20d0NFSS3kLSr4EFbK9Q9G2+BHyIiAJ/oxwzE3A60ZL1CNsH1jbgAaaiazDC9iuSZgWOIsoL77X9i85xRB/1Y22fW+OQB5R0xpMkab0wVtvtS5IkGSimklG0EnC/7X/WMrhkmihpzRcA29i+rO7xJFOm6DTMb3v1yra3AdsCqwF/sn142b4f8Dhwje076xjvQFNdJJK0EDCPp9AesczlfgJsYfuGIRzmoJLOeJIkAEhalxAK+XBL1TlbbV+SJMlAUTKKTgIOBC61/Z+ah5RMJyVCfgJxDs+vKlInvcEUOr8sSmgzHEUo369HCG7fSJSILGX7wXpGPHhIOhOYn1BHvxg4EzintN9bjhCS/D7wOdtn1DfSgSfV1JMkAcD25YSgWSsd1bbblyRJMlDYvoZQLP4G8DFJs9Q8pGQ6sX0lMBb4LqHGrXpHlPRBd+eXdxJ14ffZ/iPR0eAoQphvaWCtljriRwALARsTCxBPA58E1i33ng2JhYgdbZ/Rtms5I+NJkiRJkiTJ68iMouZTIuQurSGTHqOr88tXgONtf7OjDl7KRiYCtKWFYLd+gaTjgKs6EW9JcwHHA/+1/enikL/d9gMdR7ypyul9kc54kiRJkiRJ0ifZSrAdNLn1U9uZkk6DpL0IMbdVbf+9rvENJNXrUNIpwJFEWv4ctjeqHLcG4ZCvYfvfdYx1qMg09SRJkiRJkqRP0hFvB+mI9y6lB/wGwDKStgCQ9DngEGDTljri+wJLl/Z6RwKvSvpa5fD5gEeB1gvuZmQ8SZIkSZIkSZKkRkrK+neJvtobA+vZvrHeUQ08kvYGxgA/sX2OpHmArYAtgNHA+cBuwFjbv6xvpENDOuNJkiRJkiRJkiQ1I2lt4GfAR6bU4qtp9FEj/l1gG+AXwAG2n5Y0O6Gm/llCsO6vtn87HMor0hlPkiRJkiRJkiTpASTNavuFuscx0Eja1vZp5fdDgDWJForn2X56Cu9pvTOeNeNJkiRJkiRJkiQ9QEsd8XcDp0o6BsD2eOB6YCdgY0lv7ut9bXfEIZ3xJEmSJEmSJEmSZAZ4o/7ftu8BVgW2rzjkXyIc8nHAppJGDMlAe4x0xpMkSZIkSZIkSZJ+0aWUvl7pDY6kj3aOsX0tsCGwo6Sjy7YvA9cAf6vWlQ8nsmY8SZIkSZIkSZIkmW66HPH/BVYC1gFWIdqzXWz7sMrx6wCXAd+xvV8NQ+4pMjKeJEmSJEmSJEmSTBddjvgEoj3Z5rafB64FzgSWlnRQ5W13Ab8H9pW0pKRh7Y8Oa+OTJEmSJEmSJEmS6afiiB9O9Apf1vYjZd9zwAPAdcDyksaXty0E3AG80/bttl8d+pH3DumMJ0mSJEmSJEmSJNONpNHA/sChtp8o20ZIuhNYFPgecCHwEUl3AOcBV9r+Zzl2isJvw4GsGU+SJEmSJEmSJEn6haS1gGOB/YCrgCuBO21vXzlmEWAR4Bnb1w+HHuLTQjrjSZIkSZIkSZIkSb8pDvmJwEjgD7a3rexbE9jM9ucr29IZJ9PUkyRJkiRJkiRJkhnA9pXADsBcwI876eeS1gUuIlqYVY8f9o44ZGQ8SZIkSZIkSZIkGQBKhPwE4LPAHMDPgF1tn57R8NeTzniSJEmSJEmSJEkyIEgaA5xNOOM72D6jEylPZ3xy0hlPkiRJkiRJkiRJBgxJKwNvsX1hOuJTJp3xJEmSJEmSJEmSZMBJR/yNSWc8SZIkSZIkSZIkSYaYVFNPkiRJkiRJkiRJkiEmnfEkSZIkSZIkSZIkGWLSGU+SJEmSJEmSJEmSISad8SRJkiRJkiRJkiQZYtIZT5IkSZIkSZIkSZIh5v8Bst5IgL/J0+gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting dendrogram of HRP portfolio\n",
    "plt.figure(figsize=(17,7))\n",
    "hrp.plot_clusters(stock_prices.columns)\n",
    "plt.title('HRP Dendrogram', size=18)\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison of Algorithms\n",
    "- The HRP algorithm uses a Single Linkage algorithm and grows the tree to the maximum depth. This method may not identify the optimal number of clusters and can sometimes lead to sub-optimal results. In contrast, the HERC algorithm first calculates the optimal number of clusters and then cuts the tree to the required height and clusters.\n",
    "- The two algorithms also differ when performing the Top-Down recursive bisection to each tree. The HRP algorithm breaks the tree down the middle based on the number of assets while the HERC algorithm divides the tree based on the fundamental structure of the dendrogram produced.\n",
    "\n",
    "From here, we can understand the fundamental differences as to how the algorithms work. We can also plot the results of both algorithms to see how these different processes result in different asset allocations for each portfolio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our HERC (Equal Weighting) vs. HRP comparison graph\n",
    "hercEW_weights = hercEW_weights[hrp_weights.columns]\n",
    "\n",
    "x = np.arange(len(hrp_weights.columns))\n",
    "bar_width = 0.3\n",
    "\n",
    "plt.figure(figsize=(20,7))\n",
    "plt.bar(x, hercEW_weights.values[0], color='blue', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width, hrp_weights.values[0], color='red', width=bar_width, zorder=2)\n",
    "\n",
    "plt.xticks(x + bar_width, hercEW_weights, rotation=45, size=10)\n",
    "plt.title('HERC - Equal Weighting vs. HRP Asset Allocations', size=18)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "\n",
    "blue_patch = mpatches.Patch(color='blue', label='HERC - Equal Weighting')\n",
    "red_patch = mpatches.Patch(color='red', label='HRP')\n",
    "plt.legend(handles=[blue_patch, red_patch], loc='upper left', prop={'size': 13})\n",
    "\n",
    "plt.grid(axis='y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our HERC (Variance) vs. HRP comparison graph\n",
    "hercMV_weights = hercMV_weights[hrp_weights.columns]\n",
    "\n",
    "x = np.arange(len(hrp_weights.columns))\n",
    "bar_width = 0.25\n",
    "\n",
    "plt.figure(figsize=(20,7))\n",
    "plt.bar(x, hercMV_weights.values[0], color='blue', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width, hrp_weights.values[0], color='red', width=bar_width, zorder=2)\n",
    "\n",
    "plt.xticks(x + bar_width, hercMV_weights, rotation=45, size=10)\n",
    "plt.title('HERC - Variance vs. HRP Asset Allocations', size=18)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "\n",
    "blue_patch = mpatches.Patch(color='blue', label='HERC - Variance')\n",
    "red_patch = mpatches.Patch(color='red', label='HRP')\n",
    "plt.legend(handles=[blue_patch, red_patch], loc='upper left', prop={'size': 13})\n",
    "\n",
    "plt.grid(axis='y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Through these comparison graphs, we can see how the separate algorithms provide different asset allocations for their respective portfolios. If you would like to learn more about each algorithm please refer to the sources section at the bottom of this notebook."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "Throughout this notebook, users were taken through how they can implement the Hierarchical Equal Risk Contribution and Hierarchical Risk Parity algorithms through the MlFinLab library. Users were also given insight as to the different factors which separate the algorithms from one another. By visualizing the different portfolios produced by each algorithm, users can see the affects of each algorithm and their respective properties."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sources\n",
    "Official MlFinLab Documentation:\n",
    "- __[Hierarchical Equal Risk Contribution](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__\n",
    "- __[Hierarchical Risk Parity](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_risk_parity.html)__\n",
    "\n",
    "Algorithms:\n",
    "- __[Hierarchical Risk Parity - Hudson & Thames](https://hudsonthames.org/an-introduction-to-the-hierarchical-risk-parity-algorithm/)__\n",
    "- __[Hierarchical Equal Risk Contribution - Thomas Raffinot](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3237540)__\n",
    "- __[Hierarchical Clustering Based Asset Allocation - Thomas Raffinot](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2840729)__"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
